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Polynomial Identities in Algebras

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Cover of 'Polynomial Identities in Algebras'

Table of Contents

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    Book Overview
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    Chapter 1 Some Thoughts on the Current State of the Theory of Identical Relations in Lie Algebras
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    Chapter 2 Minimal Degree of Identities of Matrix Algebras with Additional Structures
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    Chapter 3 On the Asymptotics of Capelli Polynomials
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    Chapter 4 Regev’s Conjecture for Algebras with Hopf Actions
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    Chapter 5 ℓ-Weak Identities and Central Polynomials for Matrices
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    Chapter 6 Computing Multiplicities in the Sign Trace Cocharacters of M 2,1(F)
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    Chapter 7 b-Generalized Skew Derivations on Multilinear Polynomials in Prime Rings
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    Chapter 8 Relatively Free Algebras of Finite Rank
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    Chapter 9 Graded Algebras, Algebraic Functions, Planar Trees, and Elliptic Integrals
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    Chapter 10 Central Polynomials of Algebras and Their Growth
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    Chapter 11 Trace Identities on Diagonal Matrix Algebras
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    Chapter 12 Codimension Growth for Weak Polynomial Identities, and Non-integrality of the PI Exponent
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    Chapter 13 On Codimensions of Algebras with Involution
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    Chapter 14 Context-Free Languages and Associative Algebras with Algebraic Hilbert Series
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    Chapter 15 On Almost Nilpotent Varieties of Linear Algebras
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    Chapter 16 (δ, ε)-Differential Identities of UT m(F)
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    Chapter 17 Identities in Group Rings, Enveloping Algebras and Poisson Algebras
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    Chapter 18 Notes on the History of Identities on Group (and Loop) Algebras
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    Chapter 19 Cayley Hamilton Algebras
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    Chapter 20 Growth of Differential Identities
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    Chapter 21 Derived Lengths of Symmetric Poisson Algebras
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    Chapter 22 Group and Polynomial Identities in Group Rings
Attention for Chapter 8: Relatively Free Algebras of Finite Rank
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Chapter title
Relatively Free Algebras of Finite Rank
Chapter number 8
Book title
Polynomial Identities in Algebras
Published by
Springer, Cham, November 2020
DOI 10.1007/978-3-030-63111-6_8
Book ISBNs
978-3-03-063110-9, 978-3-03-063111-6
Authors

Thiago Castilho de Mello, Felipe Yukihide Yasumura, Mello, Thiago Castilho de, Yasumura, Felipe Yukihide